Picking Apples

There once was a man who liked to pick apples from his big old apple tree. On the first day he picked 1 apple, on the second he picked 2 apples, on the third he picked 4 apples. On the fourth he picked 8 apples. If this pattern continues, then how many days will it take him to pick 67,108,864 apples?
Hint
The operation I’d use:
1X1 = 1
1X2 = 2
2X2 = 4
4X2 = 8

Answer
It will take 27 days.

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